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eq_sheet1 - Equation Sheet 1 Ch 16 Transverse wave on...

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Equation Sheet 1 C h. 17 Speed of sound T raveling sound w ave in x-direction cos( ) Pressure change: sin( ) ( ) Phase difference betw een 2 sound w aves 2 0,1, 2,... fully construct. m m m m B v s s kx t p p kx t p v s L L ρ ω ω ρω φ π λ λ = = Δ = Δ Δ = Δ = Δ = 2 2 2 12 2 0 0 interference 1 3 5 , , ,...fully destruct. interference 2 2 2 Sound intensity 1 4 2 Sound level (10 dB) log , 10 W /m Standing sound w ave in pipe open at both ends , 1, 2, 3,... 2 S s m L P P I v s A r I I I v nv f n L λ ρ ω π β λ Δ = = = = = = = = = 1 2 tanding sound w ave in pipe open at one end , 1, 3, 5,... 4 Beats: D oppler effect: Shock w ave: sin beat D s s v nv f n L f f f v v f f v v v v λ θ = = = = ± ′ = ± = 2 2 2 2 2 2 2 Ch. 16 Transverse wave on string 2 2 2 2 ; Wave equation 1 Sinusoidal traveling wave in x-direction ( , ) sin( ) Average power delivered by wave 1 2 m avg m f k T y y x v t y x t y kx t v f T k P y π π τ π ω π λ μ λ ω φ λ ω τ λ μ μνω = = = = = = + = = = = = ( ) ( ) Interference of waves '( , ) sin sin 1 1 '( , ) [2 cos ]sin( ) 2 2 Standing waves ( , ) [2 sin ]cos String,
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